Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.4 - Logistic Functions and Models - Exercises - Page 666: 11

Answer

choice $(B)$

Work Step by Step

Equation form: $\displaystyle \quad f(x)=\frac{N}{1+Ab^{-x}}$, where $N$ = limiting value. Reading the graph, we have: $N=9,$ choice (A) is eliminated. Initial value is 2, so: $f(0)=2\Rightarrow\left\{\begin{array}{ll} 2 & =\frac{9}{1+Ab^{0}}\\ 1+A & =9/2\\ A & =4.5-1=3.5 \end{array}\right.\qquad\Rightarrow\qquad $choice $(B)$
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